Details

analyze317.0ms (5.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
25%	74.9%	0.1%	8
37.4%	62.4%	0.1%	9
46.8%	53%	0.1%	10
55%	44.9%	0.1%	11
64.2%	35.7%	0.1%	12
70.3%	29.5%	0.1%	13
75.4%	24.4%	0.1%	14

Compiler

Compiled 12 to 9 computations (25% saved)

sample18.0ms (0.3%)

Algorithm

1×

intervals

Results

8.0ms	229×	body	128	valid
1.0ms	8×	body	2048	valid
1.0ms	7×	body	1024	valid
1.0ms	8×	body	512	valid
0.0ms	4×	body	256	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 23 to 20 computations (13% saved)

simplify97.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	149	13
1	149	13

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))

rewrite9.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-log-exp_binary64_3868`
3×	`sum-log_binary64_3920` `*-un-lft-identity_binary64_3829`
1×	`flip3-+_binary64_3832` `add-exp-log_binary64_3867` `flip-+_binary64_3803` `add-cbrt-cube_binary64_3865` `add-cube-cbrt_binary64_3864` `associate-+r+_binary64_3761` `pow1_binary64_3890` `distribute-lft-out_binary64_3780` `+-commutative_binary64_3759` `add-sqr-sqrt_binary64_3851`

Counts

1 → 14

Calls

1 calls:

8.0ms

(+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))

series19.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

19.0ms

(+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))

simplify66.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5241	299

prune18.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	13	4	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	5	18

Error

0.1b

Counts

18 → 5

Compiler

Compiled 358 to 206 computations (42.5% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
0.5b	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
0.5b	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
0.6b	(.f64 (cbrt.f64 (+.f64 x (+.f64 (.f64 (+.f64 x y) 2) z))) (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))

rewrite55.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64_3860`
35×	`*-un-lft-identity_binary64_3829`
23×	`add-sqr-sqrt_binary64_3851`
18×	`cbrt-div_binary64_3861`
15×	`add-cube-cbrt_binary64_3864`
11×	`pow1_binary64_3890`
9×	`flip3-+_binary64_3832` `flip-+_binary64_3803` `swap-sqr_binary64_3796` `distribute-lft-out_binary64_3780` `pow1/3_binary64_3911`
7×	`associate-r_binary64_3769` `associate-l_binary64_3770`
6×	`add-exp-log_binary64_3867`
4×	`add-log-exp_binary64_3868` `unswap-sqr_binary64_3797` `add-cbrt-cube_binary64_3865` `frac-times_binary64_3839`
2×	`pow-prod-down_binary64_3900` `pow-prod-up_binary64_3899` `associate-l/_binary64_3772` `pow-sqr_binary64_3802` `associate-r/_binary64_3771`
1×	`prod-exp_binary64_3878` `*-commutative_binary64_3760` `pow-plus_binary64_3892` `cbrt-unprod_binary64_3862` `pow2_binary64_3910`

Counts

4 → 95

Calls

4 calls:

19.0ms	(.f64 (cbrt.f64 (+.f64 x (+.f64 (.f64 (+.f64 x y) 2) z))) (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
11.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
7.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
7.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))

series801.0ms (13%)

Counts

4 → 12

Calls

4 calls:

245.0ms	(.f64 (cbrt.f64 (+.f64 x (+.f64 (.f64 (+.f64 x y) 2) z))) (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
188.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
185.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
182.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))

simplify102.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4922	2850
1	4922	2850

prune188.0ms (3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	101	6	107
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	102	10	112

Error

0.0b

Counts

112 → 10

Compiler

Compiled 4501 to 2582 computations (42.6% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
0.5b	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
0.5b	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))) 2))
0.6b	(pow.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))) 2)

rewrite41.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`cbrt-prod_binary64_3860`
21×	`*-un-lft-identity_binary64_3829`
14×	`unpow-prod-down_binary64_3908`
13×	`add-cube-cbrt_binary64_3864` `add-sqr-sqrt_binary64_3851`
6×	`cbrt-div_binary64_3861`
5×	`add-exp-log_binary64_3867` `pow1_binary64_3890`
4×	`add-log-exp_binary64_3868` `add-cbrt-cube_binary64_3865` `distribute-lft-out_binary64_3780` `pow1/3_binary64_3911`
3×	`pow-unpow_binary64_3906`
2×	`flip3-+_binary64_3832` `flip-+_binary64_3803` `unpow2_binary64_3894` `pow-pow_binary64_3901` `sqr-pow_binary64_3801`
1×	`pow-exp_binary64_3897` `pow-to-exp_binary64_3898`

Counts

4 → 74

Calls

4 calls:

9.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))) 2))
9.0ms	(pow.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))) 2)
7.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
7.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))

series1.1s (17.6%)

Counts

4 → 12

Calls

4 calls:

398.0ms	(pow.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))) 2)
275.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))) 2))
224.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
184.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))

simplify100.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4874	2063
1	4874	2063

prune217.0ms (3.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	84	2	86
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	85	11	96

Error

0.0b

Counts

96 → 11

Compiler

Compiled 5066 to 3044 computations (39.9% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))) 2))
0.5b	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))) 2))
0.6b	(pow.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))) 2)
0.6b	(pow.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))) 2)

rewrite49.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`cbrt-prod_binary64_3860`
28×	`unpow-prod-down_binary64_3908`
24×	`*-un-lft-identity_binary64_3829`
16×	`add-cube-cbrt_binary64_3864` `add-sqr-sqrt_binary64_3851`
6×	`add-exp-log_binary64_3867` `pow1_binary64_3890` `pow-unpow_binary64_3906`
4×	`add-log-exp_binary64_3868` `unpow2_binary64_3894` `add-cbrt-cube_binary64_3865` `pow-pow_binary64_3901` `sqr-pow_binary64_3801` `distribute-lft-out_binary64_3780` `pow1/3_binary64_3911`
2×	`pow-exp_binary64_3897` `pow-to-exp_binary64_3898`

Counts

4 → 86

Calls

4 calls:

10.0ms	(pow.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))) 2)
9.0ms	(pow.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))) 2)
9.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))) 2))
9.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))) 2))

series1.3s (21.8%)

Counts

4 → 12

Calls

4 calls:

396.0ms	(pow.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))) 2)
385.0ms	(pow.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))) 2)
283.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))) 2))
278.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))) 2))

simplify104.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4734	2330
1	4734	2330

prune267.0ms (4.3%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	98	11	109

Error

0.0b

Counts

109 → 11

Compiler

Compiled 5700 to 3590 computations (37% saved)

regimes208.0ms (3.4%)

Accuracy

Total 0.0b remaining (65.2%)

Threshold costs 0.0b (65.2%)

Compiler

Compiled 3244 to 2194 computations (32.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	16
1	14	16

end0.0ms (0%)

sample1.0s (16.3%)

Algorithm

1×

intervals

Results

207.0ms	7402×	body	128	valid
17.0ms	180×	body	1024	valid
17.0ms	196×	body	512	valid
11.0ms	90×	body	2048	valid
7.0ms	132×	body	256	valid
0.0ms	12×	body	128	invalid

Compiler

Compiled 827 to 560 computations (32.3% saved)

Details

analyze317.0ms (5.1%)

sample18.0ms (0.3%)

simplify97.0ms (1.6%)

prune3.0ms (0.1%)

localize6.0ms (0.1%)

rewrite9.0ms (0.2%)

series19.0ms (0.3%)

simplify66.0ms (1.1%)

prune18.0ms (0.3%)

localize10.0ms (0.2%)

rewrite55.0ms (0.9%)

series801.0ms (13%)

simplify102.0ms (1.7%)

prune188.0ms (3%)

localize18.0ms (0.3%)

rewrite41.0ms (0.7%)

series1.1s (17.6%)

simplify100.0ms (1.6%)

prune217.0ms (3.5%)

localize18.0ms (0.3%)

rewrite49.0ms (0.8%)

series1.3s (21.8%)

simplify104.0ms (1.7%)

prune267.0ms (4.3%)

regimes208.0ms (3.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.0s (16.3%)

Profiling